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Upper bound for the energy of a confined gas of hard sphere bosons


Date: Thursday, December 2, 2021 16:15 - 17:15
Speaker: Benjamin Schlein (University of Zürich)
Location: Online via Zoom
Series: Mathematics and CS Seminar
Host: Laszlo Erdös
Contact: Birgit Oosthuizen-Noczil

We prove an upper bound for the ground state energy of a confined gas of N bosons, optimal up to errors vanishing as N tends to infinity. We consider particles moving on the three-dimensional unit torus, interacting through a hard sphere potential with radius of order 1/N (Gross-Pitaevskii regime). This is joint work with G. Basti, S. Cenatiempo, A. Olgiati and G. Pasqualetti. 

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